ERIC Number: EJ1252924
Record Type: Journal
Publication Date: 2020
Pages: 15
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1947-7503
EISSN: N/A
Available Date: N/A
Misconceptions on Part-Part-Whole Proportional Relationships Using Proportional Division Problems
I, Ji Yeong; Martinez, Ricardo; Dougherty, Barbara
Investigations in Mathematics Learning, v12 n2 p67-81 2020
This study focuses on proportional division, a specific problem type of proportions and proportional relationships, which embeds a part-part-whole relationship. We investigated how students in grades 6 to 9 solved and perceived three proportional division problems. Analysis of the students' performance on the tasks revealed three types of misconceptions emerged in solving proportional division problems: regarding a ratio as a number, additive reasoning, and confusion about the whole. Confusion about the whole was the misconception that appeared most frequently across all grades. This finding suggests teachers should provide various types of proportional problems, especially with part-part-whole ratios. Proportional division is an essential type of problem in working with a part-part-whole relationship while providing a more contextual method for reasoning with ratios.
Descriptors: Division, Mathematics Instruction, Problem Solving, Misconceptions, Teaching Methods, Mathematics Achievement, Thinking Skills, Task Analysis, Student Attitudes, Protocol Analysis, Middle School Students, High School Students, Private Schools
Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research; Tests/Questionnaires
Education Level: Junior High Schools; Middle Schools; Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: 1020154
Author Affiliations: N/A

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